# Veech groups, irrational billiards and stable abelian differentials

Ferran Valdez

Number | 57 |
---|---|

Author | Jose Ferran Valdez-Lorenzo |

Project | B09 |

Year | 2009 |

We describe Veech groups of flat surfaces arising from irrational angled polygonal billiards or irreducible stable abelian differentials. For irrational polygonal billiards, we prove that these groups are non-discrete subgroups of SO(2,R) and we calculate their rank.